Atlas419 of 3,915

I.A.130

From Li, Jing & Liao (2018)

I.A.130 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 186.68 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 2.376), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000761 of each other at a top speed of 36.3, line up 282 times a period, and the computed loop closes to 3.0×10⁻²⁵.

Measured over one period

Period: 186.6816104
Masses: 1 : 1 : 1
Energy: -1.68387
Angular momentum: 0
Closest approach: 7.6×10⁻⁴
Top speed: 36.27
Path length: 466.06
Alignments per period: 282
Stability: weakly unstable (|λ|max 2.376)
Loop closure: 3.0×10⁻²⁵

Neighbours on the map

All I.A orbits, the families of periodic three-body orbits, or the atlas map.